Fullerenes C20-C60: Combinatorial types and symmetry point groups |
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| Authors: | Yu. L. Voytekhovsky D. G. Stepenshchikov |
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| Affiliation: | (1) Geological Institute, Kola Scientific Center, Russian Academy of Sciences, ul. Fersmana 14, Apatity, Murmansk oblast, 184209, Russia;(2) Kola Branch, Petrozavodsk State University, ul. Kosmonavtov 3, Apatity, Murmansk oblast, 184209, Russia |
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| Abstract: | A series of fullerenes from C20 to C60 (a total of 5770) is obtained and their characterization in terms of symmetry point groups is performed for the first time. The most symmetric forms with the sixth and higher orders of automorphism groups (a total of 80) are represented in the Schlegel projection onto one of the faces. It is noted that, among the 5770 fullerenes obtained, only 12 fullerenes exhibit noncrystallographic symmetry. |
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